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Home Aptitude Problems on Numbers See What Others Are Saying!
  • Question
  • There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is :


  • Options
  • A. 3
  • B. 6
  • C. 9
  • D. 12

  • Correct Answer


  • Explanation

    Let the numbers be x and y. Then, 2x + 3y = 39...(i)and 3x + 2y = 30 ...(ii)

    On solving (i) and (ii), we get :  x = 6 and y = 9.

    larger number = 9


  • More questions

    • 1. 
      Write down the power set of A = {8, 9}.

    • Options
    • A. {?, {8}, {9}, {8, 9}}
    • B. {?, {8}, {9}}
    • C. {?, {8}, {9}, {8, 9}}
    • D. None of these
    • Discuss
    • 2. 
      The area of two similar ?s are 121 cm 2 and 81 cm 2 respectively. What is the ratio of their corresponding heights (altitudes):

    • Options
    • A. 11 9
    • B. 22 9
    • C. 11 18
    • D. 33 6
    • Discuss
    • 3. 
      In how many different ways, can the letters of the word 'VENTURE' be arranged?

    • Options
    • A. 840
    • B. 5040
    • C. 1260
    • D. 2520
    • Discuss
    • 4. 
      Alen and Border can do a work individually in 21 and 42 days respectively. In how many days they can complete the work, working alternatively?


    • Options
    • A. 14
    • B. 28
    • C. 42
    • D. 35
    • Discuss
    • 5. 
      A number is selected at random from the set {1, 2, 3, ........, 50}. The probability that it is a prime, is

    • Options
    • A. 0.1
    • B. 0.2
    • C. 0.3
    • D. 0.3
    • Discuss
    • 6. 
      Sonu can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijeet joined and completed it working for 10 days. In how many days Sonu and Abhijeet can do the complete work, working together?

    • Options
    • A. 6
    • B. 8
    • C. 10
    • D. 12
    • Discuss
    • 7. 
      19.003 x 22.998 - 280.010

    • Options
    • A. 220
    • B. 110
    • C. 160
    • D. 90
    • Discuss
    • 8. 
      A person buys a book for ? 200 and sells it for ? 225. What will be his gain percent?

    • Options
    • A. 13%
    • B. 14%
    • C. 18.4%
    • D. 12.5%
    • Discuss
    • 9. 
      3, 7, 15, 39, 63, 127, 255, 511?

    • Options
    • A. 7
    • B. 15
    • C. 39
    • D. 63
    • Discuss
    • 10. 
      If A = { x : x = n-1/n+1, n ? W and n ? 10 } ;point out the correct statement from the following:

    • Options
    • A. 0 ? A
    • B. 0 ? A
    • C. 0 ? A
    • D. 1/3 ? A
    • Discuss


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